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Finding the Fourth Proportional to 3,003.56, 4,504.84 and 923.08

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Solution

The fourth proportional to 3,003.56, 4,504.84 and 923.08 is: 1,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.56 : 4,504.84 = 923.08 : x
  2. Step 2: Convert to fraction form
    3,003.56/4,504.84 = 923.08/x
  3. Step 3: Cross multiply
    3,003.56x = 4,504.84 × 923.08
  4. Step 4: Simplify right side
    3,003.56x = 4,158,327.71
  5. Step 5: Solve for x
    x = 4,158,327.71/3,003.56
  6. Step 6: Final answer
    x = 1,384.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.